138827 has 8 divisors (see below), whose sum is σ = 152880. Its totient is φ = 125280.

The previous prime is 138821. The next prime is 138829. The reversal of 138827 is 728831.

138827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138827 - 2⁶ = 138763 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138827.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138827.

It is not an unprimeable number, because it can be changed into a prime (138821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 677 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2¹³⁸⁸²⁷ is an apocalyptic number.

138827 is a deficient number, since it is larger than the sum of its proper divisors (14053).

138827 is a wasteful number, since it uses less digits than its factorization.

138827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253.

The product of its digits is 2688, while the sum is 29.

The square root of 138827 is about 372.5949543405. The cubic root of 138827 is about 51.7795151631.

The spelling of 138827 in words is "one hundred thirty-eight thousand, eight hundred twenty-seven".